Force of a roller coaster track on a car

AI Thread Summary
The discussion focuses on calculating the forces exerted by a roller coaster track on a car at different speeds. For part (a), the initial attempt to use the formula F = mv²/r was incorrect until the normal force was included, leading to the correct answer. In part (b), the participant successfully applied the insights gained from part (a) to find the force at a lower speed. Part (c) involved determining the maximum speed at which the car could remain on the track, emphasizing the importance of considering both the weight and normal force. Overall, understanding the role of net forces and centripetal acceleration was crucial for solving the problem.
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Homework Statement


The roller coaster car shown below has a mass of 800 kg when fully loaded with passengers.
(a) If the car has a speed of 25.0 m/s at point A, what force does the track exert on the car at that
point. (b) If the car has a speed of 10.0 m/s at point B, what force does the track exert on the car.
(c) What is the maximum speed the car could have at B and still remain on the track?

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Homework Equations


F = mv²/r

The Attempt at a Solution


(a)
I thought I would just need to plug into the above formula but that didn't work. I did:
800kg * (25m/s)² / 10m and got the answer 50000N, but that is not the correct answer. I am not sure what else to
Edit: Figured out I had to add in the normal force and got the correct answer.
(b)
Edit: Figured out based on what I learned from part a.
(c)
Edit: Figured out based on what I learned from part a.
 
Last edited:
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Remember Newton's 2nd law...it's not f=ma, but F_net =ma, that is, the sum of all forces(that is, the net force) =ma =mv^2/r. Therb is another force acting on the car besides its weight..the contact force (the normal force) of the track on the car. Solve for it. What is the direction of the centripetal acceleration and the direction of the net force?
 
Thanks for the help! I realized I had to also add the normal force when it was at part a. I was able to figure out part b and c based on that information.
 
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